3133330112313 has 8 divisors (see below), whose sum is σ = 4641970536800. Its totient is φ = 2088886741524.

The previous prime is 3133330112279. The next prime is 3133330112317. The reversal of 3133330112313 is 3132110333313.

3133330112313 is a `hidden beast` number, since 3 + 1 + 3 + 3 + 330 + 1 + 12 + 313 = 666.

It is not a de Polignac number, because 3133330112313 - 2⁹ = 3133330111801 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 116049263419 = 3133330112313 / (3 + 1 + 3 + 3 + 3 + 3 + 0 + 1 + 1 + 2 + 3 + 1 + 3).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3133330112317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58024631683 + ... + 58024631736.

It is an arithmetic number, because the mean of its divisors is an integer number (580246317100).

Almost surely, 2^{3133330112313} is an apocalyptic number.

It is an amenable number.

3133330112313 is a deficient number, since it is larger than the sum of its proper divisors (1508640424487).

3133330112313 is a wasteful number, since it uses less digits than its factorization.

3133330112313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116049263428 (or 116049263422 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 3133330112313 its reverse (3132110333313), we get a palindrome (6265440445626).

The spelling of 3133330112313 in words is "three trillion, one hundred thirty-three billion, three hundred thirty million, one hundred twelve thousand, three hundred thirteen".